Find the pdf of y


In each of the following find the pdf of Y. Show that the pdf integrates to 1.

(a) Y = X3 and fx(x) = 42x5(1-x), 0

(b) Y = 4X+3 and fx(x) = 7e-7x, 0

(c) Y = X2 and fx(x) = 30x2(1-x)2, 0

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